Weak Solutions to the complex Monge-Ampère flows on compact Kähler manifolds : general measures on the right-hand side.

This paper investigates the existence and properties of weak solutions for the complex Monge-Ampère flow on compact Kähler manifolds, allowing for general measures on the right-hand side. It extends previous results by considering a broader class of measures, which is crucial for applications where the source term is not necessarily smooth. This theoretical advancement has potential implications for understanding complex geometric flows and their use in areas like optimal transport and image processing, particularly in handling noisy or discrete data.